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pow10_helper_test.cc (4803B)


      1 // Copyright 2018 The Abseil Authors.
      2 //
      3 // Licensed under the Apache License, Version 2.0 (the "License");
      4 // you may not use this file except in compliance with the License.
      5 // You may obtain a copy of the License at
      6 //
      7 //      https://www.apache.org/licenses/LICENSE-2.0
      8 //
      9 // Unless required by applicable law or agreed to in writing, software
     10 // distributed under the License is distributed on an "AS IS" BASIS,
     11 // WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
     12 // See the License for the specific language governing permissions and
     13 // limitations under the License.
     14 
     15 #include "absl/strings/internal/pow10_helper.h"
     16 
     17 #include <cmath>
     18 
     19 #include "gtest/gtest.h"
     20 #include "absl/strings/str_format.h"
     21 
     22 namespace absl {
     23 ABSL_NAMESPACE_BEGIN
     24 namespace strings_internal {
     25 
     26 namespace {
     27 
     28 struct TestCase {
     29  int power;           // Testing Pow10(power)
     30  uint64_t significand;  // Raw bits of the expected value
     31  int radix;           // significand is adjusted by 2^radix
     32 };
     33 
     34 TEST(Pow10HelperTest, Works) {
     35  // The logic in pow10_helper.cc is so simple that theoretically we don't even
     36  // need a test. However, we're paranoid and believe that there may be
     37  // compilers that don't round floating-point literals correctly, even though
     38  // it is specified by the standard. We check various edge cases, just to be
     39  // sure.
     40  constexpr TestCase kTestCases[] = {
     41      // Subnormals
     42      {-323, 0x2, -1074},
     43      {-322, 0x14, -1074},
     44      {-321, 0xca, -1074},
     45      {-320, 0x7e8, -1074},
     46      {-319, 0x4f10, -1074},
     47      {-318, 0x316a2, -1074},
     48      {-317, 0x1ee257, -1074},
     49      {-316, 0x134d761, -1074},
     50      {-315, 0xc1069cd, -1074},
     51      {-314, 0x78a42205, -1074},
     52      {-313, 0x4b6695433, -1074},
     53      {-312, 0x2f201d49fb, -1074},
     54      {-311, 0x1d74124e3d1, -1074},
     55      {-310, 0x12688b70e62b, -1074},
     56      {-309, 0xb8157268fdaf, -1074},
     57      {-308, 0x730d67819e8d2, -1074},
     58      // Values that are very close to rounding the other way.
     59      // Comment shows difference of significand from the true value.
     60      {-307, 0x11fa182c40c60d, -1072},  // -.4588
     61      {-290, 0x18f2b061aea072, -1016},  //  .4854
     62      {-276, 0x11BA03F5B21000, -969},   //  .4709
     63      {-259, 0x1899C2F6732210, -913},   //  .4830
     64      {-252, 0x1D53844EE47DD1, -890},   // -.4743
     65      {-227, 0x1E5297287C2F45, -807},   // -.4708
     66      {-198, 0x1322E220A5B17E, -710},   // -.4714
     67      {-195, 0x12B010D3E1CF56, -700},   //  .4928
     68      {-192, 0x123FF06EEA847A, -690},   //  .4968
     69      {-163, 0x1708D0F84D3DE7, -594},   // -.4977
     70      {-145, 0x13FAAC3E3FA1F3, -534},   // -.4785
     71      {-111, 0x133D4032C2C7F5, -421},   //  .4774
     72      {-106, 0x1D5B561574765B, -405},   // -.4869
     73      {-104, 0x16EF5B40C2FC77, -398},   // -.4741
     74      {-88, 0x197683DF2F268D, -345},    // -.4738
     75      {-86, 0x13E497065CD61F, -338},    //  .4736
     76      {-76, 0x17288E1271F513, -305},    // -.4761
     77      {-63, 0x1A53FC9631D10D, -262},    //  .4929
     78      {-30, 0x14484BFEEBC2A0, -152},    //  .4758
     79      {-21, 0x12E3B40A0E9B4F, -122},    // -.4916
     80      {-5, 0x14F8B588E368F1, -69},      //  .4829
     81      {23, 0x152D02C7E14AF6, 24},       // -.5000 (exactly, round-to-even)
     82      {29, 0x1431E0FAE6D721, 44},       // -.4870
     83      {34, 0x1ED09BEAD87C03, 60},       // -.4721
     84      {70, 0x172EBAD6DDC73D, 180},      //  .4733
     85      {105, 0x1BE7ABD3781ECA, 296},     // -.4850
     86      {126, 0x17A2ECC414A03F, 366},     // -.4999
     87      {130, 0x1CDA62055B2D9E, 379},     //  .4855
     88      {165, 0x115D847AD00087, 496},     // -.4913
     89      {172, 0x14B378469B6732, 519},     //  .4818
     90      {187, 0x1262DFEEBBB0F9, 569},     // -.4805
     91      {210, 0x18557F31326BBB, 645},     // -.4992
     92      {212, 0x1302CB5E6F642A, 652},     // -.4838
     93      {215, 0x1290BA9A38C7D1, 662},     // -.4881
     94      {236, 0x1F736F9B3494E9, 731},     //  .4707
     95      {244, 0x176EC98994F489, 758},     //  .4924
     96      {250, 0x1658E3AB795204, 778},     // -.4963
     97      {252, 0x117571DDF6C814, 785},     //  .4873
     98      {254, 0x1B4781EAD1989E, 791},     // -.4887
     99      {260, 0x1A03FDE214CAF1, 811},     //  .4784
    100      {284, 0x1585041B2C477F, 891},     //  .4798
    101      {304, 0x1D2A1BE4048F90, 957},     // -.4987
    102      // Out-of-range values
    103      {-324, 0x0, 0},
    104      {-325, 0x0, 0},
    105      {-326, 0x0, 0},
    106      {309, 1, 2000},
    107      {310, 1, 2000},
    108      {311, 1, 2000},
    109  };
    110  for (const TestCase& test_case : kTestCases) {
    111    EXPECT_EQ(Pow10(test_case.power),
    112              std::ldexp(test_case.significand, test_case.radix))
    113        << absl::StrFormat("Failure for Pow10(%d): %a vs %a", test_case.power,
    114                           Pow10(test_case.power),
    115                           std::ldexp(test_case.significand, test_case.radix));
    116  }
    117 }
    118 
    119 }  // namespace
    120 }  // namespace strings_internal
    121 ABSL_NAMESPACE_END
    122 }  // namespace absl